- A cell phone plan costs $25.50 per month, which includes 2 gigabytes (GB) of data. For each additional GB of data used, the company charges $10.75. If a customer uses 4.2 GB of data in a month, what will their total bill be?
Answer: $49.15
First, determine the amount of additional data used: 4.2 GB - 2 GB = 2.2 GB. Next, calculate the cost of the additional data: 2.2 GB × $10.75/GB = $23.65. Finally, add the base monthly cost to the additional data cost: $25.50 + $23.65 = $49.15.
- A delivery truck weighs 2.4 tons when empty. It is loaded with 40 identical boxes. If the truck's total weight with the boxes is 3.1 tons, what is the weight of each box in tons?
Answer: 0.0175 tons
First, find the total weight of all the boxes by subtracting the truck's empty weight from its total weight: 3.1 tons - 2.4 tons = 0.7 tons. Then, divide the total weight of the boxes by the number of boxes to find the weight of a single box: 0.7 tons ÷ 40 boxes = 0.0175 tons.
- A rectangular room measures 12.5 feet by 15 feet. The cost of carpeting is $3.80 per square foot. What is the total cost to carpet the room?
Answer: $712.50
First, calculate the area of the room in square feet: Area = length × width = 12.5 feet × 15 feet = 187.5 square feet. Then, multiply the area by the cost per square foot: 187.5 sq ft × $3.80/sq ft = $712.50.
- Four friends go out for dinner. The total bill for food is $85.40. They want to leave a tip that is 0.2 of the food bill. If they split the total cost (food and tip) equally, how much should each person pay?
Answer: $25.62
First, calculate the tip amount: $85.40 × 0.2 = $17.08. Next, calculate the total cost including the tip: $85.40 + $17.08 = $102.48. Finally, divide the total cost by the number of friends to find each person's share: $102.48 ÷ 4 = $25.62.
- Jennifer's monthly salary increased from $3,847.50 to $4,162.30. What was the percent increase in her salary, rounded to the nearest tenth of a percent?
Answer: 8.2%
Calculate the increase: $4,162.30 - $3,847.50 = $314.80. Find the percent increase: ($314.80 ÷ $3,847.50) × 100% = 0.08185... × 100% = 8.185%, which rounds to 8.2%. Choice B (7.6%) might result from calculation errors or rounding too early. Choice C (8.8%) might come from using the new salary as the base instead of the original. Choice D (7.9%) could result from arithmetic errors in the division.
- Over four days, a city received the following rainfall amounts: 1.25 inches, 0.8 inches, 1.5 inches, and 0.45 inches. What was the average daily rainfall for these four days?
Answer: 1.00 inches
First, find the sum of the rainfall amounts: 1.25 + 0.8 + 1.5 + 0.45 = 4.00 inches. Then, divide the sum by the number of days to find the average: 4.00 inches ÷ 4 days = 1.00 inch per day.
- A scientist is mixing a chemical solution. She starts with 1.25 liters of water and adds 0.08 liters of a concentrated acid. She then removes 0.4 liters of the mixture for an experiment. How much of the solution is left?
Answer: 0.93 liters
First, find the total volume of the solution after mixing by adding the volumes of the water and acid: 1.25 liters + 0.08 liters = 1.33 liters. Then, subtract the amount removed for the experiment: 1.33 liters - 0.4 liters = 0.93 liters.
- A customer buys 3 notebooks at $2.75 each and a pack of pens for $4.95. If the customer pays with a $20 bill, how much change should they receive?
Answer: $6.80
First, calculate the total cost of the notebooks: 3 × $2.75 = $8.25. Next, add the cost of the pens to find the total cost of the purchase: $8.25 + $4.95 = $13.20. Finally, subtract the total cost from the amount paid to find the change: $20.00 - $13.20 = $6.80.
- At the start of a road trip, a car's odometer read 34,258.8 miles. At the end of the trip, it read 34,611.3 miles. The car consumed 12.5 gallons of gasoline during the trip. How many miles per gallon did the car get on this trip?
Answer: 28.2 miles per gallon
First, calculate the total distance traveled by subtracting the starting odometer reading from the ending reading: 34,611.3 - 34,258.8 = 352.5 miles. Next, divide the total distance by the number of gallons used to find the miles per gallon: 352.5 miles ÷ 12.5 gallons = 28.2 miles per gallon.
- A rectangular garden has a length of 8.5 meters and a width of 5.25 meters. Fencing costs $12.50 per meter. How much will it cost to install a fence around the entire perimeter of the garden?
Answer: $343.75
First, calculate the perimeter of the garden: P = 2 × (length + width) = 2 × (8.5 m + 5.25 m) = 2 × 13.75 m = 27.5 m. Then, multiply the perimeter by the cost per meter: 27.5 m × $12.50/m = $343.75.
- A carpenter has a wooden plank that is 4.5 meters long. She needs to cut three pieces that are each 0.85 meters long and one piece that is 1.2 meters long. After she cuts these pieces, how much of the original plank will be left?
Answer: 0.75 m
First, calculate the total length of the three identical pieces: 3 × 0.85 m = 2.55 m. Next, add the length of the fourth piece to find the total length of wood to be cut: 2.55 m + 1.2 m = 3.75 m. Finally, subtract the total cut length from the original plank's length: 4.5 m - 3.75 m = 0.75 m.
- A bank account has a starting balance of $435.50. The account holder makes a deposit of $180.25 and then writes a check for $75.80. A monthly service fee of $4.95 is then deducted. What is the final balance of the account?
Answer: $535.00
Start with the initial balance, add the deposit, and subtract the check and the service fee. Calculation: $435.50 + $180.25 = $615.75. Then, $615.75 - $75.80 = $539.95. Finally, $539.95 - $4.95 = $535.00.
- Maria's car has a 15-gallon fuel tank. She fills the tank and drives 420 miles before the tank is empty. She then buys 10 gallons of gasoline. How many miles can she expect to drive on the 10 gallons of gasoline?
Answer: 280 miles
First, calculate the car's fuel efficiency in miles per gallon (MPG): 420 miles ÷ 15 gallons = 28 MPG. Next, use the MPG to find how far she can drive on 10 gallons: 28 MPG × 10 gallons = 280 miles.
- A store sells coffee in two sizes. A 10.5-ounce bag costs $8.40, and a 24-ounce bag costs $16.80. How much cheaper is the coffee per ounce in the larger bag?
Answer: $0.10
First, find the unit price for each bag. For the small bag: $8.40 ÷ 10.5 ounces = $0.80 per ounce. For the large bag: $16.80 ÷ 24 ounces = $0.70 per ounce. Then, find the difference in the unit prices: $0.80 - $0.70 = $0.10.
- A recipe for a smoothie requires 0.4 cups of yogurt for a single serving. A container of yogurt holds 3.5 cups. If David makes 4 servings of the smoothie, how many cups of yogurt will be left in the container?
Answer: 1.9 cups
First, calculate the total amount of yogurt used for 4 servings: 4 servings × 0.4 cups/serving = 1.6 cups. Then, subtract the amount used from the total amount in the container: 3.5 cups - 1.6 cups = 1.9 cups.
- A cyclist travels at an average speed of 14.5 miles per hour. If she bikes for 2.4 hours, how many miles will she travel?
Answer: 34.8 miles
To find the total distance traveled, multiply the average speed by the time spent traveling: Distance = Speed × Time. So, 14.5 miles/hour × 2.4 hours = 34.8 miles.
- An elevator has a maximum weight capacity of 2,000 pounds. The average weight of a person is estimated to be 185.5 pounds. There is a delivery on the elevator that weighs 285 pounds. What is the maximum number of people who can safely ride the elevator with the delivery?
Answer: 9
First, subtract the weight of the delivery from the total capacity to find the remaining capacity for people: 2,000 pounds - 285 pounds = 1,715 pounds. Next, divide the remaining capacity by the average weight of a person: 1,715 ÷ 185.5 = 9.245... . Since a fraction of a person cannot be on the elevator, the maximum number of whole people is 9.
- A machine produces 847.5 widgets per hour. Due to maintenance issues, its efficiency drops to 78.3% of its original rate. If the machine runs for 6.75 hours at the reduced rate, how many widgets will it produce?
Answer: 4,479
Calculate the reduced rate: 847.5 × 0.783 = 663.4125 widgets per hour. Calculate total production: 663.4125 × 6.75 = 4,478.03... widgets. Rounding to the nearest whole widget gives 4,478 widgets. The closest answer is B (4,479). Choice A might result from rounding errors at different steps. Choice C could come from using 78.3% as 0.793 instead of 0.783. Choice D might result from calculation errors in the multiplication steps.
- An employee earns $18.50 per hour for the first 40 hours worked in a week. For any additional hours, she earns 1.5 times her regular hourly rate. If she works 46 hours in one week, what are her total earnings for that week?
Answer: $906.50
First, calculate regular pay: 40 hours × $18.50/hour = $740.00. Then, determine overtime hours: 46 - 40 = 6 hours. Next, calculate the overtime rate: $18.50 × 1.5 = $27.75/hour. Calculate overtime pay: 6 hours × $27.75/hour = $166.50. Finally, add regular and overtime pay: $740.00 + $166.50 = $906.50.
- A tailor needs to cut strips of ribbon that are each 1.25 feet long. The ribbon comes on a spool that holds 25 feet. How many complete 1.25-foot strips can the tailor cut from one spool?
Answer: 20
To find the number of strips, divide the total length of the ribbon on the spool by the length of each strip: 25 feet ÷ 1.25 feet/strip = 20 strips. Since the result is a whole number, exactly 20 complete strips can be cut.
